Calculate the Product: 0.01 × 0.50 Decimal Multiplication

Q: Why do I need to count decimal places?

Counting decimal places ensures your answer has the correct size! When you multiply decimals, the result must be smaller than both original numbers, so proper placement is crucial.

Q: Can I convert to fractions instead?

Yes! $ 0.01 = \frac{1}{100} $ and $ 0.50 = \frac{1}{2} $, so $ \frac{1}{100} \times \frac{1}{2} = \frac{1}{200} = 0.005 $. Both methods work!

Q: How do I know if 0.005 is reasonable?

Think logically: 0.01 is very small and 0.50 is half, so half of something very small should be even smaller. 0.005 makes sense!

Q: What if I get extra zeros?

Leading zeros after the decimal are important! 0.005 is different from 0.05. Count carefully and don't drop necessary zeros.

Decimal Multiplication with Place Value Counting

$0.01\times0.50=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Convert from decimal to fraction

00:13 There are 2 zeros in the denominator, so we'll move the decimal point twice:

00:21 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0.01\times0.50=$

Step-by-step solution

To solve this problem, follow these steps:

Step 1: Multiply the numbers without considering the decimals. Calculate $1 \times 50 = 50$ .
Step 2: Count the total number of decimal places in both original numbers. $0.01$ has two decimal places, and $0.50$ has two decimal places. This gives a total of four decimal places.
Step 3: Apply the total number of decimal places to the whole number product from Step 1. Therefore, $50$ becomes $0.005$ .

Thus, the calculation shows that $0.01 \times 0.50 = 0.005$ .

Therefore, the solution to the problem is $\textbf{0.005}$ .

Final Answer

$0.005$

Key Points to Remember

Essential concepts to master this topic

Rule: Count total decimal places in both numbers being multiplied
Technique: Multiply 1 × 50 = 50, then place 4 decimal positions
Check: Verify 0.01 × 0.50 = 0.005 has 3 decimal places ✓

Common Mistakes

Avoid these frequent errors

Forgetting to count decimal places correctly
Don't just multiply 1 × 50 = 50 and guess where the decimal goes = 0.50 or 5.0! This ignores the decimal place rule completely. Always count decimal places in both original numbers (2 + 2 = 4) and place the decimal accordingly.

Practice Quiz

Test your knowledge with interactive questions

$0.1 \times 0.008 =$

FAQ

Everything you need to know about this question

Why do I need to count decimal places?

Counting decimal places ensures your answer has the correct size! When you multiply decimals, the result must be smaller than both original numbers, so proper placement is crucial.

What if one number has fewer decimal places?

Just count what's there! If one number has 2 decimal places and another has 1, you still add them: 2 + 1 = 3 total decimal places in your answer.

Can I convert to fractions instead?

Yes! $0.01 = \frac{1}{100}$ and $0.50 = \frac{1}{2}$ , so $\frac{1}{100} \times \frac{1}{2} = \frac{1}{200} = 0.005$ . Both methods work!

How do I know if 0.005 is reasonable?

Think logically: 0.01 is very small and 0.50 is half, so half of something very small should be even smaller. 0.005 makes sense!

What if I get extra zeros?

Leading zeros after the decimal are important! 0.005 is different from 0.05. Count carefully and don't drop necessary zeros.

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